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Finding the Fourth Proportional to 409.43, 614.14 and 120.87

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Solution

The fourth proportional to 409.43, 614.14 and 120.87 is: 181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.43 : 614.14 = 120.87 : x
  2. Step 2: Convert to fraction form
    409.43/614.14 = 120.87/x
  3. Step 3: Cross multiply
    409.43x = 614.14 × 120.87
  4. Step 4: Simplify right side
    409.43x = 74,230.80
  5. Step 5: Solve for x
    x = 74,230.80/409.43
  6. Step 6: Final answer
    x = 181.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.